Question

A metallic sphere of radius 3 cm is melted and a wire of thickness 4 mm is formed. Find the length of wire in metres.​

Answer 1

Step-by-step explanation:

Diameter of sphere =6 cm

Radius of sphere =

2

6

=3cm

Volume of sphere =

3

4

πr

3

=

3

4

π×3×3×3

=36πcm

3

Let the length of wire be h cm

Diameter of wire =2 cm

Radius of wire =

2

2

=1cm

As the wire is in the shape of cylinder .so that volume of cylinder =πr

2

h

Now, volume of metal sphere = volume of wire

36π=π×1

2

×h

h=36cm